Question

how do i solve x^3-4x^2+5x=50

Answer 1

x^3 -4x^2 +5x -50 = 0

can either try to factor by grouping or to trail and error it

Answer 2

i aint got an eye for grouping :)

Answer 3

1,50; 2,25; 5,10 seem to be it

lets try 10

10 | 1 -4 5 50
0 10 60
------------
1 6 65 ..........aint gonna happen with that

Answer 4

2?

2 | 1 -4 5 50
0 2 -4
------------
1 -2 1 ........ nope

the quicekr way is to use a graphing program

Answer 5

try 5 ?

5 | 1 -4 5 -50
0 5 5 50
-----------
1 1 10 0

x = 5 is a root

now to determine if the rest is factorable...

x^2 +x +10

1 -40 = irreducible

(x-5)(x^2 +x +10) is the factored form and the only root is x=5